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Neighbourhood

From Encyclopedia of Mathematics
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of a point (of a subset ) of a topological space

Any open subset of this space containing the point (the set ). Sometimes a neighbourhood of the point (the set ) is defined as any subset of this topological space containing the point (the set ) in its interior (cf. also Interior of a set).

How to Cite This Entry:
Neighbourhood. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Neighbourhood&oldid=30570
This article was adapted from an original article by B.A. Pasynkov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article